A clock hanging on a wall has the following dimensions: o The minute and second hand are 15 cm in length o The hour hand is 8 cm long o The clock is centered 3 m above the ground a)For each of the hands, find the equation of the height above the ground of the tip of its hand over time. For convenience, use t (min) and h (cm), and assume that the starting time is midnight. b) Find the height of the tip of each of the hands at 1:50:35 a.m.
Depends on the clock. Probably seconds.
Because it counts seconds.
one second
In many cases, there is a third hand that ticks on seconds
In an analog clock, the movement of the hour, minute, and second hands is based on a circular motion around the clock face. Each hand moves at a specific speed: the second hand completes a full rotation every 60 seconds, the minute hand every 60 minutes, and the hour hand every 12 hours. The distance traveled by each hand correlates with the time elapsed, as the constant speed of the hands allows for consistent measurement of time intervals. Thus, the combination of distance covered and the speed of movement enables accurate timekeeping.
The speed of a clock hand depends on what the clock hand indicates the second hand is 2pi per 60seconds, the minute hand is 2pi per 3600 seconds and the hour hand is 2pi per 216000 seconds.
it moves at one click every 60 seconds
It takes 1 minute to rotate 1 time.
Depends on the clock. Probably seconds.
Because it counts seconds.
one second
To calculate the speed of the minute hand on a clock, you need to know the distance it travels in a specific time period. Since the minute hand completes a full rotation every 60 minutes, you can calculate its speed by dividing the circumference it travels (2πr) by the time period (60 minutes). Given the length of the minute hand (5cm), you can use this information to calculate its speed in cm/minute.
The second hand makes one full revolution in 60 seconds. The distance travelled by the tip depends on the length of the second hand - this is the radius of the circle. For example, for a 10-centimeter second-hand (the clock has a diameter of about 20 centimeters - that's a clock like you would typically see on a wall), the speed of the second-hand's tip is (2 x pi x radius) / 60 seconds = 2 x 3.14 x 10 / 60 or about 1.05 cm/second.
Because it points at the seconds? hours minutes seconds
It doesn't matter where it is on the clock. If the clock is working properly, the speed of the hand is constant.The hand's angular speed is 360 degrees per minute = 6 degrees per second.For the linear speed, the tip of the second-hand revolves in a circle whose circumference is(2 pi) times (length of the hand) = 4 pi centimeters.It revolves once per minute. So the speed of the tip is (4 pi) cm/minute, or (240 pi) cm/hour.In numbers, the speed at the tip is:12.6 cm/minute2.09 mm/sec7.54 meters/hour0.000469 mile/hour593.7 feet/day12.593 furlongs/fortnight.Notice that this is the speed at the second-hand's tip. Other points on it travel slower.The closer the point is to the center, the slower its speed is. At the center, it spins, butthe linear speed is zero.
Analog, as opposed to digital.
In many cases, there is a third hand that ticks on seconds